Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650bs |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5345313873046875000 = -1 · 23 · 34 · 512 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1279838,-568815469] |
[a1,a2,a3,a4,a6] |
j |
-14837772556740428569/342100087875000 |
j-invariant |
L |
3.4019649809147 |
L(r)(E,1)/r! |
Ω |
0.070874270435723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200ge4 40950ba4 2730o4 95550ke4 |
Quadratic twists by: -4 -3 5 -7 |